Abstract:
A complete form of the generalized power conservation law for the
problem of mode diffraction in the lossless multi-port H - ( E -) plane waveguide
transformer has been obtained. The generalization has been accomplished by the use of
the second Lorentz lemma in addition to the theorem of complex power. Some new
equivalent forms of this law have been used to establish the fundamental properties of
the scattering matrices. Operator matrix forms of the energy-conservation statement in
the case of abrupt discontinuity are presented. The obtained results are intended for
application in the analytic-numerical methods based on the modal analysis.
